While NFGO3 makes a good point (that all communities should be accepting of BTs) fact is, the NYC metro area is just too big to get noticed if you don’t have roots put down. Growing roots take time, and time is the one thing a 25 y/o woman can not afford to waste.
Still, you go where the jobs are, so if NYC is the place you’re headed, get an apt anywhere you can afford and make the Upper West Side of Mantahhan your home away from home. If a single BT stands a chance of getting noticed, that would be the most logical choice.